It is still an open question if the solution of TFAC equation still preserves the energy dissipation law.
As for ordinary fractional integral equation, Volterra considered the energy law and proposed an energy equation [1]}.
In [2]}, Tang, Yu, and Zhou proved the energy boundedness for different TFPF equations that the energy is bounded by initial energy: \(\forall t\ge 0,\)
\(E(t) \le E(0).\) 
